New recursive construction for tree NLSM and SG amplitudes, and new understanding of enhanced Adler zero
This paper proposes a new bottom-up recursive method to construct tree amplitudes for non-linear sigma model and special Galileon theories by extending them to off-shell configurations, thereby deriving their exact universal soft behaviors and providing a novel Lagrangian-free understanding of the enhanced Adler zero as a consequence of soft behaviors vanishing faster than naive power counting.